Answer:
C. (3x^2+4)(x+3)
Step-by-step explanation:
3x^3+9x^2+4x+12
=(3x^3+9x^2)+(4x+12)
=3x^2(x+3)+4(x+3)
=(3x^2+4)(x+3)
Therefore, C. (3x^2+4)(x+3)
The correct factor of the polynomial is,
⇒ (x + 3) (3x² + 4)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ 3x³ + 9x² + 4x + 12
Now, We can factor the polynomial as;
⇒ 3x³ + 9x² + 4x + 12
⇒ 3x² (x + 3) + 4 (x + 3)
⇒ (x + 3) (3x² + 4)
Thus, The correct factor of the polynomial is,
⇒ (x + 3) (3x² + 4)
Learn more about the mathematical expression visit:
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A study shows that, over the course of a lifetime, the average salary of college graduates is greater than the average salary of people with only a high school diploma. The results were published claiming that graduating from college ensures you will make more money over the course of your lifetime. What is the problem with reporting results this way?
loaded question
correlation and causality
voluntary response
missing data
Answer:
The problem with reporting this result is:
Missing data.
Step-by-step explanation:
The reason behind this answer is: first of all a loaded question has a bias, the question in our case is arbitrary because it doesn't suggest an inclination of perspective. The correlation between studies and salaries also is not wrong, it is well developed. Therefore, the casualty is well developed. There is no voluntary response because it was not a questionnaire that could have been manipulated. We could have obtained the data from the government database. However, that is what we are lacking. We have no statistics, no source, no institution mentioned, we have missing data.
If $125 is invested at an interest rate of 18% per year and is compounded continuously, how much will the investment be worth in 2 years?
Use the continuous compound interest formula A = Per
$123
Answer:
$174.05
Step-by-step explanation:
To find the value of the investment at a later date:
[tex]x * multiplier^n = y[/tex]
Here, [tex]x[/tex] is the original amount, [tex]n[/tex] is the number of times the amount compounds and [tex]y[/tex] is the new value.
Let's find the multiplier. Imagine the $125 to be 100%, because that is the full amount of the investment. If you add 18% onto 100%, the result is 118%.
To convert this into a multiplier, you simply divide by 100:
118 ÷ 100 = 1.18
The original amount [tex]x[/tex] in this case is equal to $125, so we can easily substitute that into the equation. We know our multiplier is 1.18. And here, the investment is compounded once per year, and this is over a two year period, meaning the original amount will be compounded twice overall. Therefore, [tex]n=2[/tex].
Finally, we substitute our values into the equation:
[tex]125 * 1.18^2 =174.05[/tex]
This means our final answer is $174.05.
A box of crayons contains 64 crayons. Which equation can be used to find the number of total crayons, c, in b boxes of crayons?
A. b = c (64)
B. b = c + 64
C. c = b٠64
D. c = b + 64
Im pretty sure you already know the total amount of crayons but the answer is C
Answer:
a
Step-by-step explanation:
because 1 c =1b so if u did however many boxes you wanted you would do the same amount of cs groups of 64 crayons
What is the area of the sector shown?
Answer:
D.~ 34.2~cm^2
Step-by-step explanation:
An arc measure of 20 degrees corresponds to a central angle of 20 degrees.
Area of sector of circle
area = \dfrac{n}{360^\circ}\pi r^2
where n = central angle of circle, and r = radius
area = \dfrac{20^\circ}{360^\circ}\pi (14~cm)^2
area = \dfrac{1}{18}(3.14159)(196~cm^2)
area = 34.2~cm^2
Answer:
60
Step-by-step explanation:
Use the law of sines to find the length of side c.
C
be
41.59
37
42°
А
С
CD
O A. 36.64
B. 54.94
C. 37
37 36
Without the calculator let's just estimate that .5/42 = 1.2% change in the angle; we reduce the length a=37 by 1.2% to get 37×.988=36.556. That's probably good enough to choose A.
Let's do it the way they want.
[tex]\dfrac{\sin C}{c} = \dfrac{\sin A}{a}[/tex]
[tex]c = \dfrac{a \sin C}{\sin A} = \dfrac{37 \sin 41.5}{\sin 42} = 36.6400[/tex]
Answer: A
Estimate worked. Sine is approximately linear when the range is small enough.
Find the area of the segment of the circle.
Answer:
9π/4 - 4.5 unit^2.
Step-by-step explanation:
The are of the segment = area of the sector - area of the triangle.
Area of the sector = 1/4 * area of the circle
= 1/4 π 3^2
= 9π/4. unit^2
Area of the triangle
= 1/2 * 3 * 3
= 9/2 unit^2.
So the answer is 9π/4 - 4.5 unit^2.
Which of these systems of linear equations has no solution? 2 x + 8 y = 15. 4 x + 16 y = 30. 2 x minus y = 18. 4 x + 2 y = 38. 4 x + 7 y = 17. 8 x minus 14 y = 36. 4 x minus 3 y = 16. 8 x minus 6 y = 34. 100points
Answer:
4 x minus 3 y = 16. 8 x minus 6 y = 34
Step-by-step explanation:
2 x + 8 y = 15. 4 x + 16 y = 30.
Multiply the first equation by 2
4x +16y = 30
They are identical so they are the same line so there are infinite solutions
2 x - y = 18. 4 x + 2 y = 38.
Multiply the first equation by 2
4x -2y = 36
Add to the first equation
4x -2y = 36
4 x + 2 y = 38.
-----------------------
8x =74
This has a solution
4 x + 7 y = 17. 8 x - 14 y = 36.
Multiply the first equation by 2
8x +14y = 34 add to the second equation
8x +14y = 34
8 x - 14 y = 36.
------------------------
16x = 70
This has a solution
4 x - 3 y = 16. 8 x - 6 y = 34.
Multiply the first equation by -2
-8x + 6y = -32
Add to the second
-8x + 6y = -32
8x - 6y = 34
---------------------------
0 = 2
This is never true so there is no solution
Answer:
Last one:
4x minus 3y = 16
8x minus 6y = 34
Step-by-step explanation:
4x - 3y = 16
y =(4x - 16)/3
y = (4/3)x - 16/3
8x - 6y = 34
y =(8x - 34)/6
y = (4/3)x - 17/3
These are two distinct parallel lines, hence will never meet
Therefore no solutions
What type of function is represented?
Answer:
b
Step-by-step explanation:
ITS B NOT C ITS B ITS B ITS B.
I will mark brainliest but I am in a hurry
What is the solution to the equation x/6 =4/12?
x = 1
x = 2
x = 4
x = 6
Answer:
X=2
Step-by-step explanation:
12 divided by 6 is two, cut 4 in half it's 2
Select the correct answer.
Which statement describes the situation shown in the graph?
Answer:
there is no photo??where are the graphs??
The loudness, L. measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as
L - 10log , where lo - 10- and is the least intense sound a human ear can hear. Jessica is listening to soft music at a
sound intensity level of 109 on her computer while she does her homework. Braylee is completing her homework while
listening to very loud music at a sound intensity level of 10 on her headphones. How many times louder is Braylee's music
than Jessica's?
Answer:
Option A is correct.
Braylee's music is 3 times louder than Jessica's.
Step-by-step explanation:
Full Complete Questions
The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as
L = 10log (I/I₀), where lo = 10⁻¹² W/m²
and is the least intense sound a human ear can hear.
Jessica is listening to soft music at a sound intensity level of 10⁻⁹ W/m² on her computer while she does her homework.
Braylee is completing her homework while listening to very loud music at a sound intensity level of 10⁻³ W/m² on her headphones. How many times louder is Braylee’s music than Jessica’s?
times louder
3 times louder
30 times louder
90 times louder
Solution
The loudness of a sound intensity is given as
L = 10 log (I/I₀)
For Jessica
I = 10⁻⁹ W/m²
I₀ = 10⁻¹² W/m²
L = 10 log (10⁻⁹/10⁻¹²)
L = 10 log (10³)
L = 10 × 3 = 30 dB
For Braylee
I = 10⁻³ W/m²
I₀ = 10⁻¹² W/m²
L = 10 log (10⁻³/10⁻¹²)
L = 10 log (10⁹)
L = 10 × 9 = 90 dB
How many times louder is Braylee's music than Jessica's?
The factor by which Braylee's music is louder than Jessica's = (90/30) = 3
Braylee's music is 3 times louder than Jessica's.
Hope this Helps!!!
Answer:
3 times louder
Step-by-step explanation:
Find the missing length of the traingle. A=65 and B = 72 then C = ?
(10 Points)
Answer:
43
Step-by-step explanation:
65+72=137
180-137=43
Answer:
43
65+72=137
180-137=43
Step-by-step explanation:
What is the measure of theta in radians?
Enter an exact expression.
Answer: pi/3 radians
Step-by-step explanation:
0= arc length/radius
0= pi/3 radians
The figure is made of rectangular prisms. What is the volume?
Answer:
So the first step is to do times the l that is 18 then times the width that is 6 after that times the height that is 12. The other number is from the other side so you have to times the other number too. So the answer will be c.
Step-by-step explanation:
As we the the formula for a rectangular prism is l*w*h
Answer:
2,160cm³
Step-by-step explanation:
Good luck kiddos :)
The parabola opens to the right. The focus is given as
F (p,0) and directrix x = -p. The distance between the
focus and point P is equal to the distance between the
directrex and point P. Continue to simplify the equation to
solve for y2. THE ANSWER IS 4px!! :)
Answer:
Step-by-step explanation:
We have that the focus is at (p,0) and that the directrix is x=-p. Take the point (-p,0) of the directrix. We know that the vertex of the parabola is at the middle point ot the line segment that joins the points (p,0) and (-p,0). To get the middle piont, we take the average coordinate by coordinate. That is, the middle point is [tex](\frac{-p+p}{2}, \frac{0+0}{2}) = (0,0)[/tex]. The general formula of a parabola of vertex (h,k) that opens to the right or to the left is given by
[tex](y-k)^2 = 4p(x-h)[/tex]
Where |p| is the distance from the focus to the vertex. If the parabola opens to the right, then p>0 and p<0 otherwise. In our case, h =0=k, so we get that
[tex]y^2 = 4px[/tex]
Answer:
y^2 = 4px
Step-by-step explanation:
edg 2021
can someone help with this please,, also explain if you can..
Answer:
story 1
Step-by-step explanation:
because it says 2 higher than -2 so -2+2 is 0
PLEASE HELP ON THIS QUESTION! I WILL MARK YOU BRAINLIEST IF CORRECT :) TYY
Answer:
S (3,2) T (2,4) U(1,1)
Step-by-step explanation:
You flip it over the vertical line. The Y coordinate stays the same but the X changes so it's the opposite.
What is the slope of a line that goes through (2, 3) and (-1, 5)?
Answer:
2/3
Step-by-step explanation:
slope formula is ( y2 - y1 ) / ( x2 - x1)
so put in the values that are given to us
(5 - 3) / (-1-2)
= (2) / -3
= 2/3
Answer:
2/3 i think.....
Step-by-step explanation:
PLEAS HELP
At a car dealership, the sales records of weekdays and weekends were examined. Ten of the days examined were weekdays and 10 of them were weekend days. The following statistical information was calculated from the number of sales made during weekdays and weekends.
Weekday
Sales Weekend
Sales
Mean 15 18
Median 13 19
Mode 14 21
Range 10 13
Based on these samples, what generalization can be made?
A.
Not enough information is provided to draw any of these conclusions.
B.
More cars were sold on the weekdays than on the weekends.
C.
The same number of cars were sold on the weekends as on the weekdays.
D.
Less cars were sold on the weekdays than on the weekends.
Answer:
I believe it to be D
Step-by-step explanation:
What is the median of the data in this stem-and-leaf plot?
a 21
b 22
c 23
d 24
Answer:
23
Step-by-step explanation:
The median is the middle number
There are 10 number so the median is between 5 and 6
Take the 5 and 6th terms and average them
(22+24)/2 = 23
Answer
23 (Answer c is correct)hope this helps
brainliest appreciated
good luck! have a nice day!
7)
Which expression is a SUM?
5(2 + 3)
8 x (6 + 3)
5(2) + 2(6 - 3)
(5 + 2) = (2 + 3)
Answer:
The answer is c.) 5(2)+2(6-3)
Step-by-step explanation:
This is an addition problem, because you are solving for the multiplied numbers added together.
5(2)+ 2(6-3)
10+(12-6)
10+6
= 16 I hope this help :)
Steve is 6 years older than Kim. Their ages total is 22. How old is Steve?
Answer:
14
Step-by-step explanation:
Because 14-6= 8 and then 14+8= 22
Please help ASAP I’m confused
I WILL GIVE BRAINLIEST
Answer: [tex]x=4.7434[/tex]
Step-by-step explanation:
Use the pythagorean theorem [tex]a^{2} +b^{2} =c^{2}[/tex]
plug in and solve
[tex]x^{2} +3x^{2} =(3\sqrt{10}) ^{2}[/tex]
[tex]4x^{2} =90[/tex]
[tex]x^{2} =22.5[/tex]
[tex]x=4.7424[/tex]
if you need to solve for the sides
3x = 3(4.7434) = 14.2302
Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.
11.21 m
34 m
5 m
6 m
Answer:
755 m²; 785 m²
Step-by-step explanation:
In the picture attached, the prism is shown.
Lateral area = perimeter of base * height
The base is a right triangles, then its perimeter is:
perimeter: 5 + 6 + 11.21 = 22.21 m
Lateral area = 22.21*34 = 755 m²
Surface area = lateral area + 2 (Area of base)
The base is a right triangles, then its area is:
area of base = (1/2)*5*6 = 15 m²
Surface area = 755 + 2*15 = 785 m²
A stack of 12 bricks is 27 inches high. How high is each brick?
Answer: 2.25 inches
Step-by-step explanation:
27/12= 2.25
Solve for y: 4.0
2y + 16 = 0
Answer:
y=-8
Step-by-step explanation:
2y+16=0
2y=-16
y=-8
PLEASE HELP MEE
Three lines meet at a point that is also the endpoint of a ray. In complete sentences, describe the relevant angle relationships in the diagram. Find the value of each variable in the diagram.
Answer:
I'm only going to find the value of each variable
Step-by-step explanation:
V,Z,W,Y=39
X=94
Sorry, I didn't know how to explain the relevant angle relationships. '-' :(
100 points!
The following data shows the weight, in pounds, of 6 boxes:
5, 3, 3, 4, 5, 4
What is the value of the mean absolute deviation of the weight of the boxes, and what does it represent about the weight of a box?
A))1.2 pounds; on average, the weight of a box varies 1.2 pounds from the mean of 4 pounds
B))0.7 pound; the weight of 50% of the boxes is greater than 0.7 pound
C)) 1.2 pounds; the weight of 50% of the boxes is greater than 1.2 pounds
D))0.7 pound; on average, the weight of a box varies 0.7 pound from the mean of 4 pounds
Answer:
The answer is D. Let me know if you don't understand that.
Step-by-step explanation:
Hi!
To find the Mean Absolute Deviation (MAD) of the weight of the boxes, first find the mean.
5 + 3 + 3 + 4 + 5 + 4 = 24
24/6 = 4
Now find the absolute distance from the mean for each of the numbers by subtracting the mean from each of the numbers. It doesn't matter if it's negative.
5 - 4 = 1
3 - 4 = 1
3 - 4 = 1
4 - 4 = 0
5 - 4 = 1
4 - 4 = 0
Now find the mean of those numbers.
1 + 1 + 1 + 0 + 1 + 0 = 4
4/6 = 0.7
So now we know the answer is either B or D.
B. 0.7 pound; the weight of 50% of the boxes is greater than 0.7 pound
D. 0.7 pound; on average, the weight of a box varies 0.7 pound from the mean of 4 pounds
Hope this helps! :)
-Peredhel
The value of the mean absolute deviation of the weight of the boxes is 0.7 pounds
Option D is the correct answer.
What is a mean?It is the average value of the set given.
It is calculated as:
Mean = Sum of all the values of the set given / Number of values in the set
We have,
To find the mean absolute deviation, we first need to find the mean weight of the boxes:
Mean = (5+3+3+4+5+4)/6 = 24/6 = 4 pounds
Next,
We calculate the absolute deviations from the mean for each weight:
So,
|5-4| = 1
|3-4| = 1
|3-4| = 1
|4-4| = 0
|5-4| = 1
|4-4| = 0
Then,
We find the mean of the absolute deviations:
(1+1+1+0+1+0)/6 = 4/6 = 0.67 = 0.7
This means that on average, the weight of a box varies by 0.7 pounds from the mean weight of 4 pounds.
Therefore,
The value of the mean absolute deviation of the weight of the boxes is 0.7 pounds (rounded to one decimal place).
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Will mark brainliest.
Answer:
Area=7.7*2=15.4m²
...........
Answer:
15.4 meters
Step-by-step explanation:
7.7 * 2
A bus took 1 hour and 30 minutes. How many minutes is that?
Answer: 90 mins
Step-by-step explanation:
1hr=60 mins+ 30 mins
Answer:
90 minutes.
Step-by-step explanation:
Conversion ratio of hours to minutes:
1 hour = 60 minutes.
Add the two numbers together:
60 minutes + 30 minutes = 90 minutes.
90 minutes is your answer.
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